Tribe Weighs New Approach on Alcohol Sales

PINE RIDGE, S.D.—Robin Tapio has struggled with alcohol for much of her life. The father of her children died after years of drinking and their middle son lost his life after driving off a road on this vast Indian reservation. He was 16 years old and high on drugs and alcohol.

In June, Ms. Tapio, a member of the Oglala Sioux's tribal council, voted in favor of holding a referendum to try something new to address the excessive drinking...